Ketones are a second source of "at the ready" energy in addition to blood sugar. Exogenous ketones are a way to increase the immediately available energy without burning dietary or stored fat.

For a fat adapted person ketones can get very high during exercise or late in the day. For a person eating a high carb diet they increase a bit with exercise.

it will keep you in ketosis
If you mean by "in ketosis" having blood that tests greater than 0.2 ketones, then yes it will. You would see the same thing as if you injected yourself with ketones. The analogy is alcohol (ethanol). If you drink it or inject it, you will get drunk.

contain coconut oil
Coconut oil is a medium chain triglyceride and is faster to break down (because it's shorter) to a ketone than a longer chain triglyceride such as bacon fat or human fat.

Is there a reason you are specifically trying to get your ketones up?